29443082117904 has 405 divisors, whose sum is σ = 103814112273183. Its totient is φ = 7763645740032.

The previous prime is 29443082117899. The next prime is 29443082117959. The reversal of 29443082117904 is 40971128034492.

The square root of 29443082117904 is 5426148.

It is a perfect power (a square), and thus also a powerful number.

29443082117904 is a `hidden beast` number, since 2 + 9 + 4 + 430 + 8 + 2 + 117 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12520982250000 + 16922099867904 = 3538500^2 + 4113648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5925351132 + ... + 5925356100.

Almost surely, 2^{29443082117904} is an apocalyptic number.

29443082117904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29443082117904 is the 5426148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29443082117904

29443082117904 is an abundant number, since it is smaller than the sum of its proper divisors (74371030155279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29443082117904 is an equidigital number, since it uses as much as digits as its factorization.

29443082117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 29443082117904 in words is "twenty-nine trillion, four hundred forty-three billion, eighty-two million, one hundred seventeen thousand, nine hundred four".